What is 1.5011 percent of 527.5 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 527.5 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 527.5 is 100%, so we can write it down as 527.5=100%.
4. We know, that x is 1.5011% of the output value, so we can write it down as x=1.5011%.
5. Now we have two simple equations:
1) 527.5=100%
2) x=1.5011%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
527.5/x=100%/1.5011%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 1.5011% of 527.5

527.5/x=100/1.5011
(527.5/x)*x=(100/1.5011)*x       - we multiply both sides of the equation by x
527.5=66.617813603358*x       - we divide both sides of the equation by (66.617813603358) to get x
527.5/66.617813603358=x
7.9183025=x
x=7.9183025

now we have:
1.5011% of 527.5=7.9183025